2111111111120 has 40 divisors (see below), whose sum is σ = 5354545456800. Its totient is φ = 767676767360.

The previous prime is 2111111111111. The next prime is 2111111111233. The reversal of 2111111111120 is 211111111112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2111111111095 and 2111111111104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199494070 + ... + 1199495829.

It is an arithmetic number, because the mean of its divisors is an integer number (133863636420).

Almost surely, 2^{2111111111120} is an apocalyptic number.

2111111111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111111111120 is an abundant number, since it is smaller than the sum of its proper divisors (3243434345680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111111111120 is a wasteful number, since it uses less digits than its factorization.

2111111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398989923 (or 2398989917 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 2111111111120 its reverse (211111111112), we get a palindrome (2322222222232).

It can be divided in two parts, 211111 and 1111120, that added together give a palindrome (1322231).

The spelling of 2111111111120 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".